What is the Least Common Multiple of 66011 and 66022?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 66011 and 66022 is 396198022.
LCM(66011,66022) = 396198022
Least Common Multiple of 66011 and 66022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66011 and 66022, than apply into the LCM equation.
GCF(66011,66022) = 11
LCM(66011,66022) = ( 66011 × 66022) / 11
LCM(66011,66022) = 4358178242 / 11
LCM(66011,66022) = 396198022
Least Common Multiple (LCM) of 66011 and 66022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66011 and 66022. First we will calculate the prime factors of 66011 and 66022.
Prime Factorization of 66011
Prime factors of 66011 are 11, 17, 353. Prime factorization of 66011 in exponential form is:
66011 = 111 × 171 × 3531
Prime Factorization of 66022
Prime factors of 66022 are 2, 11, 3001. Prime factorization of 66022 in exponential form is:
66022 = 21 × 111 × 30011
Now multiplying the highest exponent prime factors to calculate the LCM of 66011 and 66022.
LCM(66011,66022) = 111 × 171 × 3531 × 21 × 30011
LCM(66011,66022) = 396198022
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